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investig laminar boundari layer compress fluid use crocco method present investig flow air thin laminar boundari layer flat plate crocco method use solv simultan differenti equat momentum energi involv flow crocco method use gave accur result arbitrari prandtl number near uniti prandtl number taken specif heat held constant sutherland law viscos temperatur variat assum repres viscos data start initi ambient temperatur main result present skinfrict heat transfer coeffici function reynold number mach number wall free stream temperatur ratio variat shear veloc temperatur mach number across boundari layer includ crocco method discuss detail